Question

Rs.5887 is divided between shyam and ram, such that shyam's share at the end of 9 years is equal to ram's share at the end of 11 years, compounded annually at the rate of 5%. Find the share of shyam

Answer 1

THANKS FOR THE QUESTION !

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ANS :

................ 3087 RS .............

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GIVEN :

=> THE AMOUNT :

=> 5887 RS

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CONDITION :

=> INTEREST CALCULATED BY COMPOUND INTEREST .

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WE CAN SAY THAT ,

=> SHYAM'S SHARE + RAM'S SHARE = 5887 RS

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LET,

SHYAM'S SHARE BE :

=> X RS

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FROM UPPER INFO :

=> X + RAM'S SHARE = 5887 RS

=> RAM'S SHARE = 5887 - X RS

SO,

RAM'S SHARE BE :

=> ( 5887 - X ) RS

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FORMULA FOR COMPOUND INTEREST :

AMOUNT :

=> P ( 1 + R / 100 ) ^ N

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=> X ( 1 + 5 / 100 ) ^ 9 = ( 5887 - X ) ( 1 + 5 / 100 ) ^ 11

=> X / ( 5887 - X ) = ( 21 / 20 ) ^ 11 / ( 21 / 20 ) ^ 9

=> BY THE RULES OF INDICES IT WILL BE : => ( 21 / 20 ) ^ 11 - 9

=> X / ( 5887 - X ) = ( 21 / 20 ) ^ 2

=> X / ( 5887 - X ) = 21 / 20 * 21 / 20

=> 400 X = 21 * 21 * ( 5887 - X )

=> 400 X = 441 * 5887 - 441 X

=> 400 X + 441 X = 441 * 5887

=> 841 X = 25,96,167

=> X = 25,96,167 / 841

=> X = 3087 RS

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SO SHYAM'S SHARE WAS RS :

=> X RS :

=> 3087 RS

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RAM'S SHARE :

=> ( 5887 - X ) RS :

=> 5887 - 3087

=> 2800 RS

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HOPE IT WILL HELP U .......

THANKS AGAIN .......

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